IDENTIFIQUE O EQUILÍBRIO DAS EQUAÇÕES
A) 3 x = 18
B) x + 4 = 8
C) x + 3 = 1
D) x – 3 = 2
E) x - 3 = 9
F) 4x - 9 = 1 - 2x
G) x + 5 = 20 - 4x
H) 9x - 4x + 10 = 7x – 30
Soluções para a tarefa
Explicação passo-a-passo:
A) 3x = 18
x = 18/3
x = 6
=> 3x = 18
=> 3.6 = 18
=> 18 = 18 ✓ Equilibrado
B) x + 4 = 8
x = 8 - 4
x = 4
=> x + 4 = 8
=> 4 + 4 = 8
=> 8 = 8 ✓ Equilibrado
C) x + 3 = 1
x = 1 - 3
x = - 2
=> x + 3 = 1
=> - 2 + 3 = 1
=> 1 = 1 ✓ Equilibrado
D) x - 3 = 2
x = 2 + 3
x = 5
=> x - 3 = 2
=> 5 - 3 = 2
=> 2 = 2 ✓ Equilibrado
E) x - 3 = 9
x = 9 + 3
x = 12
=> x - 3 = 9
=> 12 - 3 = 9
=> 9 = 9 ✓ Equilibrado
F) 4x - 9 = 1 - 2x
4x + 2x = 1 + 9
6x = 10
x = 10/6
x = 5/3 <== simplificado por 2
=> 4x - 9 = 1 - 2x
=> 4.(5/3) - 9 = 1 - 2.(5/3)
=> 20/3 - 9 = 1 - 10/3
=> 9.3-20/3 = - 1.3+10/3
=> 7/3 = 7/3 ✓ Equilibrado
G) x + 5 = 20 - 4x
x + 4x = 20 - 5
5x = 15
x = 15/5
x = 3
=> x + 5 = 20 - 4x
=> 3 + 5 = 20 - 4.3
=> 8 = 20 - 12
=> 8 = 8 ✓ Equilibrado
H) 9x - 4x + 10 = 7x - 30
9x - 4x - 7x = - 30 - 10
- 2x = - 40 .(-1)
2x = 40
x = 40/2
x = 20
=> 9x - 4x + 10 = 7x - 30
=> 9.20 - 4.20 + 10 = 7.20 - 30
=> 180 - 80 + 10 = 140 - 30
=> 110 = 110 ✓ Equilibrado